2913
2913 is a odd composite number that follows 2912 and precedes 2914. It is composed of 4 distinct factors: 1, 3, 971, 2913. Its prime factorization can be written as 3 × 971. 2913 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2913 is represented as 101101100001 in binary and B61 in hexadecimal. Historically, it is written as MMCMXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 971) reveals 2 prime building blocks.
Divisible by 2
2913 ends in 3, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
2913 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 15 is not a multiple of 9.
Divisible by 10
2913 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 2913 within several notable number theory sequences:
Timeline
Deep dive
How 2913 breaks down
2913 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 975, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101100001 supports bitwise reasoning, hexadecimal B61 aligns with computing notation, and the Roman numeral MMCMXIII keeps the encyclopedic tradition alive. These attributes make 2913 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2913 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2908–2918) to tune search ranges, and educators feature 2913 in worksheets about factor trees. Its binary footprint of length 12 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2913 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 2913
Is 2913 a prime number?
2913 is composite with 4 total factors and the prime factorization 3 × 971.
What is the prime factorization of 2913?
It breaks down as 3 × 971, multiplying the primes 3 × 971.
How is 2913 represented in binary and hexadecimal?
2913 converts to 101101100001 in binary and B61 in hexadecimal, which are helpful for computer science applications.
Is 2913 a perfect square, cube, or triangular number?
2913 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2913?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.